On Time-Dependant Symmetries of Schroedinger Equation

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We show that the number of symmetry operators of order not higher that q of the nonstationary n-dimensional (n=1,2,3,4) Schroedinger equation (SE) with nonvanishing potentials is finite and does not exceed that of SE with zero potentials for arbitrary q=0,1,2,... . This result is applied for the determination of the general form of time dependance of the symmetry operators of SE with time-independant potentials.
7 pages, Latex, no figures

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Analysis of PDEs, Mathematical Physics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/100004

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9802124
 http://arxiv.org/abs/math/9802124

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arXiv